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• CommentRowNumber1.
• CommentAuthorUrs
• CommentTimeOct 12th 2020

the definition, and highlighting that this coincides with Chen-Ruan cohomology of the global quotient orbifold, and with Bredon cohomology with coefficients in the representation ring functor

• CommentRowNumber2.
• CommentAuthorDavid_Corfield
• CommentTimeOct 12th 2020

Why did they call it ’delocalized’?

• CommentRowNumber3.
• CommentAuthorUrs
• CommentTimeOct 12th 2020
• (edited Oct 12th 2020)

I haven’t seen them admit this, but I suppose it must be meant in contrast to the de Rham cohomology of just the direct sum of the fixed loci (which would be localized to the fixed points), i.e. without taking the quotient by the residual $G$-action (which mixes these loci and hence “de-localizes” them).

In any case, this choice of terminology probably contributed to keeping the true nature of the theory a public mystery.

• CommentRowNumber4.
• CommentAuthorDavid_Corfield
• CommentTimeOct 12th 2020

Thanks!